Geodesic
On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 75-90

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DOI

We give Trudinger-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting. In particular, our results improve and extend the previous results in Morrey spaces of an integral form in the Euclidean case.
DOI : 10.4153/S0008439520000223
Mots-clés : Riesz potential, Trudinger’s inequality, Orlicz-Morrey spaces, metric measure space, non-doubling measure 
Hurri-Syrjänen, Ritva; Ohno, Takao; Shimomura, Tetsu. On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 75-90. doi: 10.4153/S0008439520000223
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     title = {On {Trudinger-type} {Inequalities} in {Orlicz-Morrey} {Spaces} of an {Integral} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {75--90},
     year = {2021},
     volume = {64},
     number = {1},
     doi = {10.4153/S0008439520000223},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000223/}
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